By Mark Ryan . Answer: (b) Two right angles can be supplementary. Complementary angles: Two angles whose measures add to … (iv) Can two adjacent angles be supplementary? (ii) Can two right angles be supplementary? Hence, we can say that two right angles are always supplementary … Properties of Supplementary Angles. When two angles' measures add up to 180∘, the angles are calledsupplementary (to each other).Supplementary pairs can either be made up of two right angles, or one acute and one obtuse angle (vii) Can two right angles form a linear pair? Let's take two right angles and add them: ∠ x = 90° and ∠ y = 90° On adding ∠ x and ∠ y; we get: ∠ a + ∠ b = 90° + 90° = 180° Now, the sum of two right angles is equals to 180°. 2l + w l(2+w) 2(l + w) l + l + 2w 2l + 2w l + l + w + w 2l … An angle is greater than 45°. Answer. Adjacent angles: Adjacent angles are angles that share a vertex and a common side. True, any two right angles are supplementary because they sum to 180.! So, two right angles are always supplementary to each other. Vertical angles are always, by definition, congruent. New questions in Mathematics Which of the following expressions can be used to find the perimeter of a rectangle? Answer: yes. (a) Two adjacent angles can be complementary. (vi) Can an acute angle be adjacent to an obtuse angle? Complementary angles are two angles that add up to 90°, or a right angle; two supplementary angles add up to 180°, or a straight angle. Note: If the two vertical angles are right angles then they are both congruent and supplementary. If both the angles are right angles. Measure of a right angle is 90°. (iii) Since, right angle = 90° ∴ right angle + right angle = 90° + 90° = 180° Thus, two right angles are supplementary angles. (b) Two right angles can be supplementary. Then, sum of two right angles will be (90°+ 90°) = 180°. Answer: (a) (d) Two right angles cannot be adjacent angles. (v) Can two obtuse angles be adjacent? We know that measure of a right angle is equal to 90°. (i) Can two right angles be complementary? (d) One obtuse angle and one acute angle cannot be supplementary. (a) Two acute angles can be supplementary. Is its complementary angle greater than 45° or equal to 45° or less than 45 °? We know that If two angles are supplementary, their sum is 180°. 1. (iii) Can two adjacent angles be complementary? (c) Two obtuse angles can be supplementary. Answer. Thus, the two obtuse angles cannot be supplementary angles. Supplementary angles have two properties: Only two angles can sum to 180 °-- three or more angles may sum to 180 ° or π radians, but they are not considered supplementary; The two angles must either both be right angles, or one must be an acute angle and the other an obtuse angle; Try It! Solution: If Angles are 91° & 91° 91° + 91° = 182° ≠ 180° Since sum is not 180°, they are not supplementary Ex 5.1, 7 Can two angles be supplementary if both of them are: (iii) right? These angles aren’t the most exciting things in geometry, but you have to be able to spot them in a diagram and … Supplementary add to 180° You can also think: "C" of Complementary is for "Corner" (a Right Angle), and "S" of Supplementary is for "Straight" (180° is a straight line) Or you can think: when you are right you get a compliment (sounds like complement) "supplement" (like a … (b) Two adjacent angles cannot be supplementary (c) An acute angle cannot be adjacent to an obtuse angles. This fact is important to keep in mind because many complementary and supplementary angles that you will be dealing with in geometry are adjacent angles. True. Ex 5.1 Class 7 Maths Question 8.